Trend Stationary - Formal Definition

Formal Definition

A process {Y} is said to be trend stationary if

where t is time, f is any function mapping from the reals to the reals, and {e} is a stationary process. The value is said to be the trend value of the process at time t.

Read more about this topic:  Trend Stationary

Famous quotes containing the words formal and/or definition:

    On every formal visit a child ought to be of the party, by way of provision for discourse.
    Jane Austen (1775–1817)

    Mothers often are too easily intimidated by their children’s negative reactions...When the child cries or is unhappy, the mother reads this as meaning that she is a failure. This is why it is so important for a mother to know...that the process of growing up involves by definition things that her child is not going to like. Her job is not to create a bed of roses, but to help him learn how to pick his way through the thorns.
    Elaine Heffner (20th century)